Pith Number

pith:XZ2VMW4J

pith:2025:XZ2VMW4JQUY3RFSBQWTZUSXAJT

not attested not anchored not stored refs pending

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks

Bangti Jin, Longjun Wu

arxiv:2508.21571 v1 · 2025-08-29 · cs.LG · cs.NA · math.NA · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZ2VMW4JQUY3RFSBQWTZUSXAJT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T12:01:37.031225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be75565b898531b8964185a79a4ae04cea0922a1968a135136bddcfdd3f5da2c

Aliases

arxiv: 2508.21571 · arxiv_version: 2508.21571v1 · doi: 10.48550/arxiv.2508.21571 · pith_short_12: XZ2VMW4JQUY3 · pith_short_16: XZ2VMW4JQUY3RFSB · pith_short_8: XZ2VMW4J

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XZ2VMW4JQUY3RFSBQWTZUSXAJT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: be75565b898531b8964185a79a4ae04cea0922a1968a135136bddcfdd3f5da2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d55250ce266fb86d262e628b259db467b090b5cb57ea2e1e8cad3a6c128b2e9d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-29T12:25:51Z",
    "title_canon_sha256": "953b0a15cbac7e98e296b855fe2c6b83f0e6713de15e73a1c878f395c8356b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21571",
    "kind": "arxiv",
    "version": 1
  }
}